Results 51 to 60 of about 1,204 (77)

Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

Demonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
doaj   +1 more source

Dirichlet summations and products over primes

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 359-372, 1993.
Geoffrey B. Campbell
wiley   +1 more source

Pattern Avoidance in Weak Ascent Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi, Toufik Mansour, José L. Ramírez   +2 more
doaj   +1 more source

Proofs of some binomial identities using the method of last squares [PDF]

, 2010
We give combinatorial proofs for some identities involving binomial sums that have no closed form.Comment: 8 pages, 16 ...
Shattuck, Mark, Waldhauser, Tamás
core   +1 more source

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

Interval and $\ell$-interval Rational Parking Functions [PDF]

Discrete Mathematics & Theoretical Computer Science
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Imhotep B. Hogan, Jakeyl Johnson, Jan Kretschmann, Kobe Lawson-Chavanu, J. Carlos Martínez Mori, Casandra D. Monroe, Daniel Quiñonez, Dirk Tolson III, Dwight Anderson Williams II   +14 more
doaj   +1 more source

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Forum of Mathematics, Sigma
The K-theoretic Schur P- and Q-functions $G\hspace {-0.2mm}P_\lambda $ and $G\hspace {-0.2mm}Q_\lambda $ may be concretely defined as weight-generating functions for semistandard shifted set-valued tableaux.
Joel Lewis, Eric Marberg
doaj   +1 more source

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process. [PDF]

Probab Theory Relat Fields, 2023
Assaf E, Buckley J, Feldheim N.
europepmc   +1 more source

On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. [PDF]

Aequ Math, 2022
Wallner M.
europepmc   +1 more source